Absence of higher order corrections to the non-Abelian Chern-Simons coefficient

Abstract

We extend the Coleman-Hill analysis to non-Abelian Chern-Simons theories containing a tree level topological mass term. We show, in the case of a pure Yang-Mills-Chern-Simons theory, that there are no corrections to the coefficient of the Chern-Simons term beyond one loop in the axial gauge. Our arguments use constraints coming only from small gauge Ward identities as well as the analyticity of the amplitudes, much like the proof in the Abelian case. Some implications of this result are also discussed.

13 pages, 3 figures (final version to appear in Phys. Lett. B)

References in corpus (1)

• A Simple Proof of the Non-Renormalization of the Chern-Simons Coupling

Cited by in corpus (9)

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• An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories
• Anomalous Magnetic Moment of Electron in Chern-Simons QED
• Absence of higher order corrections to the non-Abelian topological mass term
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model